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10291433856 = 273112436419
BaseRepresentation
bin10011001010110101…
…01101000110000000
3222120020011000012220
421211122231012000
5132034101340411
64421113051040
7513013513224
oct114532550600
928506130186
1010291433856
114401278640
121bb26b6a80
13c801a9242
146d8b46784
15403778b06
hex2656ad180

10291433856 has 64 divisors (see below), whose sum is σ = 29821780800. Its totient is φ = 3118615040.

The previous prime is 10291433833. The next prime is 10291433869. The reversal of 10291433856 is 65833419201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×102914338562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1213986 + ... + 1222433.

It is an arithmetic number, because the mean of its divisors is an integer number (465965325).

Almost surely, 210291433856 is an apocalyptic number.

10291433856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10291433856 is an abundant number, since it is smaller than the sum of its proper divisors (19530346944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10291433856 is a wasteful number, since it uses less digits than its factorization.

10291433856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436447 (or 2436435 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 10291433856 in words is "ten billion, two hundred ninety-one million, four hundred thirty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 2436419 4872838 7309257 9745676 14618514 19491352 26800609 29237028 38982704 53601218 58474056 77965408 80401827 107202436 116948112 155930816 160803654 214404872 233896224 311861632 321607308 428809744 467792448 643214616 857619488 935584896 1286429232 1715238976 2572858464 3430477952 5145716928 10291433856